1. **Problem Statement:** Find the total area of the shaded polygon composed of three parts on the coordinate grid. 2. **Identify the parts:** - Part 1: Large rectangle from $x=-10$ to $x=-6$ and $y=0$ to $y=6$. - Part 2: Rectangle from $x=-6$ to $x=-2$ and $y=-4$ to $y=0$. - Part 3: Right triangle from $x=-6$ to $x=-2$ and $y=4$ to $y=6$. 3. **Formulas:** - Area of rectangle = width $\times$ height. - Area of right triangle = $\frac{1}{2} \times$ base $\times$ height. 4. **Calculate Part 1 area:** - Width = $-6 - (-10) = 4$. - Height = $6 - 0 = 6$. - Area = $4 \times 6 = 24$. 5. **Calculate Part 2 area:** - Width = $-2 - (-6) = 4$. - Height = $0 - (-4) = 4$. - Area = $4 \times 4 = 16$. 6. **Calculate Part 3 area:** - Base = $-2 - (-6) = 4$. - Height = $6 - 4 = 2$. - Area = $\frac{1}{2} \times 4 \times 2 = 4$. 7. **Total area:** $$\text{Total area} = 24 + 16 + 4 = 44.$$